TY - JOUR

T1 - Size effects on the phase transitions in a thin multiferroic film

AU - Pirozerskii, A. L.

AU - Charnaya, E. V.

AU - Lebedeva, E. L.

AU - Mikushev, V. M.

AU - Bugaev, A. S.

PY - 2016

Y1 - 2016

N2 - The phenomenological Landau theory was applied for treating the phase transitions in a thin multiferroic film. The multiferroic phase in the relevant bulk was assumed to emerge following two successive phase transitions of the second order. The coupling between the order parameters was implied to be biquadratic as for a multiferroic-magnetoelectric. The variation of the free energy density functional yielded a system of two nonlinear differential Euler-Lagrange equations with four boundary conditions. The boundary value problem was analyzed numerically. It was shown that the phase diagram in the film can differ radically from that in bulk for particular sets of the phenomenological parameters.

AB - The phenomenological Landau theory was applied for treating the phase transitions in a thin multiferroic film. The multiferroic phase in the relevant bulk was assumed to emerge following two successive phase transitions of the second order. The coupling between the order parameters was implied to be biquadratic as for a multiferroic-magnetoelectric. The variation of the free energy density functional yielded a system of two nonlinear differential Euler-Lagrange equations with four boundary conditions. The boundary value problem was analyzed numerically. It was shown that the phase diagram in the film can differ radically from that in bulk for particular sets of the phenomenological parameters.

KW - Multiferroic thin film

KW - phase transition

KW - size effect

KW - Landau theory

KW - numerical analysis

U2 - DOI: 10.1080/00150193.2016.1133204

DO - DOI: 10.1080/00150193.2016.1133204

M3 - Article

VL - 493

SP - 30

EP - 38

JO - Ferroelectrics

JF - Ferroelectrics

SN - 0015-0193

IS - 1

ER -